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3 years ago

X+5/x^2+x-12 What are the restrictions for x

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

6 0

x ≠ - 4, 3

the denominator of the fraction cannot equal zero as this would make the fraction undefined. Equating the denominator to zero and solving gives the values that x cannot be

solve x² + x - 12 = 0

(x + 4)(x - 3) = 0

equate each factor to zero abd solve for x

x + 4 = 0 ⇒ x = - 4

x - 3 = 0 ⇒ x = 3

restrictions on x are : x ≠ - 4, 3

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What is the difference between 2386 and <br> and 7000 check your answer using inverse operations

Vedmedyk [2.9K]

7,000 - 2,386= 4614. 2386+4614=7000 :)

7 0

3 years ago

Our skating club is going on a field trip. To cover the cost of the trip we are collecting \$8$8dollar sign, 8 from each of the

Wittaler [7]

The computation shows that the total amount or cost raised will be $250.

<h3>How to calculate the cost?</h3>

From the information given, it was stated that the skating club collected $8 from each of the nine members and had already raised $178.

Therefore, the total amount will be;

= $178 + ($8 × 9)

= $178 + $72

= $250

Therefore, the total amount raised will be $250.

Learn more about cost on:

brainly.com/question/25109150

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2 years ago

Are the two triangles below similar??

kodGreya [7K]

Answer:

Yes

Step-by-step explanation:

If you find the value of all the angles, you'll find that both triangles' angles are 50, 35, and 90 degrees.

(all the angles in a triangle add up to 180)

7 0

2 years ago

8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games an

ololo11 [35]

Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

We are given with a word problem
We are asked to find the number of unicorns played during the season
We can do this in two steps

Step 1: Finding the win percentage

Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is $\frac{60}{100} \times(x-10)$

Combining the 8 games we get,

$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$

Step 2 of 2

The unicorn totally won 65% of the games played.

That is $\frac{65}{100} \times x=0.65 x$

Equating both the equation gives

$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$

5 0

2 years ago

Jed Sites

g100num [7]

Answer:

Option B: 3x + 3y - 3

Step-by-step explanation:

In an isosceles triangle, the two congruent sides are equal.

We are told the base is; x - y - 2 units

Now let each of the congruent sides be represented as A.

Thus the perimeter equation will be;

P = 2A + x - y - 2

Now, we are told that the perimeter is; 7x + 5y - 8 units

Thus;

7x + 5y - 8 = 2A + x - y - 2

Rearranging gives;

7x - x + 5y + y - 8 + 2 = 2A

2A = 6x + 6y - 6

Divide through by 2 to give;

A = 3x + 3y - 3 units

6 0

3 years ago